Skip to main content
U.S. Department of Energy
Office of Scientific and Technical Information

Spatiotemporal Energy Cascade in Three-Dimensional Magnetohydrodynamic Turbulence

Journal Article · · Physical Review Letters
DOI:https://doi.org/10.1103/hx6s-8ns8· OSTI ID:2570044
We present a new scale decomposition method to investigate turbulence in wavenumber-frequency space. Using 3D magnetohydrodynamic turbulence simulations, we show that magnetic fluctuations with time scales longer than the nonlinear time exhibit an inverse cascade toward even smaller frequencies. Low frequency magnetic fluctuations support turbulence, acting as an energy reservoir that is converted into plasma kinetic energy, the latter cascading toward large wavenumbers and frequencies, where it is dissipated. Our results shed new light on the spatiotemporal properties of turbulence, potentially explaining the origin and role of low frequency turbulent fluctuations in the solar wind.
Research Organization:
Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)
Sponsoring Organization:
USDOE Laboratory Directed Research and Development (LDRD) Program; USDOE National Nuclear Security Administration (NNSA)
Grant/Contract Number:
89233218CNA000001
OSTI ID:
2570044
Report Number(s):
LA-UR--24-32680; 10.1103/hx6s-8ns8; 1079-7114
Journal Information:
Physical Review Letters, Journal Name: Physical Review Letters Journal Issue: 23 Vol. 134; ISSN 1079-7114; ISSN 0031-9007
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English

References (74)

Solar Wind Turbulence and the Role of Ion Instabilities journal August 2013
An examination of forcing in direct numerical simulations of turbulence journal January 1988
An oscillating Langevin antenna for driving plasma turbulence simulations journal February 2014
Turbulence: The Legacy of A. N. Kolmogorov book January 1996
Multi-scale gradient expansion of the turbulent stress tensor journal February 2006
Possibility of an inverse cascade of magnetic helicity in magnetohydrodynamic turbulence journal April 1975
Anisotropy in MHD turbulence due to a mean magnetic field journal June 1983
A weak turbulence theory for incompressible magnetohydrodynamics journal June 2000
Magnetic energy distribution in the four-dimensional frequency and wave vector domain in the solar wind: 4-D ENERGY DISTRIBUTION IN THE SOLAR WIND journal April 2010
Waves and turbulence in the solar wind journal January 1992
Evidence for the presence of quasi-two-dimensional nearly incompressible fluctuations in the solar wind journal January 1990
Turbulent heating in galaxy clusters brightest in X-rays journal October 2014
High-frequency heating of the solar wind triggered by low-frequency turbulence journal March 2022
The link between molecular cloud structure and turbulence journal March 2011
Statistical properties of turbulent fluctuations associated with electron-only magnetic reconnection journal October 2020
Spectral properties and energy transfer at kinetic scales in collisionless plasma turbulence journal November 2022
Anisotropy of plasma turbulence at ion scales: Hall and pressure–strain effects journal April 2024
Waves and turbulence in magnetohydrodynamic direct numerical simulations journal June 2009
Kinetic driven turbulence: Structure in space and time journal October 2010
Evidence of critical balance in kinetic Alfvén wave turbulence simulations journal May 2012
Exploring the statistics of magnetic reconnection X-points in kinetic particle-in-cell turbulence journal October 2017
Turbulence transport in the solar corona: Theory, modeling, and Parker Solar Probe journal August 2021
Toward a theory of interstellar turbulence. 2: Strong alfvenic turbulence journal January 1995
Electron density power spectrum in the local interstellar medium journal April 1995
Interaction of Shear-Alfven Wave Packets: Implication for Weak Magnetohydrodynamic Turbulence in Astrophysical Plasmas journal July 1996
The Transport of Cosmic Rays across a Turbulent Magnetic Field journal July 1999
The Anisotropy of Magnetohydrodynamic Alfvenic Turbulence journal August 2000
Coronal Heating by Magnetohydrodynamic Turbulence Driven by Reflected Low-Frequency Waves journal September 1999
Coronal Heating Distribution Due to Low‐Frequency, Wave‐driven Turbulence journal August 2002
Turbulence in Accretion Disks: Vorticity Generation and Angular Momentum Transport via the Global Baroclinic Instability journal January 2003
Angular Momentum Transport by Magnetohydrodynamic Turbulence in Accretion Disks: Gas Pressure Dependence of the Saturation Level of the Magnetorotational Instability journal April 2004
Simulations of the Small‐Scale Turbulent Dynamo journal September 2004
Cosmic‐Ray Scattering and Streaming in Compressible Magnetohydrodynamic Turbulence journal October 2004
On the Inverse Cascade of Magnetic Helicity journal March 2006
Density and Magnetic Field Signatures of Interplanetary 1/fNoise journal February 2007
Self‐consistent Coronal Heating and Solar Wind Acceleration from Anisotropic Magnetohydrodynamic Turbulence
  • Cranmer, Steven R.; van Ballegooijen, Adriaan A.; Edgar, Richard J.
  • The Astrophysical Journal Supplement Series, Vol. 171, Issue 2 https://doi.org/10.1086/518001
journal August 2007
The Transport of Low-Frequency Turbulence in Astrophysical Flows. i. Governing Equations journal December 2011
Turbulence and star formation in molecular clouds journal April 1981
The role of turbulence in coronal heating and solar wind expansion
  • Cranmer, Steven R.; Asgari-Targhi, Mahboubeh; Miralles, Mari Paz
  • Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 373, Issue 2041 https://doi.org/10.1098/rsta.2014.0148
journal May 2015
Low-frequency 1 ∕ f fluctuations in hydrodynamic and magnetohydrodynamic turbulence journal September 2007
Emergence of very long time fluctuations and1/fnoise in ideal flows journal June 2011
Energy cascade and its locality in compressible magnetohydrodynamic turbulence journal June 2016
Anisotropic Scaling of Magnetohydrodynamic Turbulence journal October 2008
Universal Nonlinear Small-Scale Dynamo journal January 2012
In Situ Observation of Hall Magnetohydrodynamic Cascade in Space Plasma journal June 2020
Low-Frequency1fNoise in the Interplanetary Magnetic Field journal July 1986
Scattering of Cosmic Rays by Magnetohydrodynamic Interstellar Turbulence journal December 2002
Simulation of Induction at Low Magnetic Prandtl Number journal April 2004
Instability, turbulence, and enhanced transport in accretion disks journal January 1998
Power and spectral index anisotropy of the entire inertial range of turbulence in the fast solar wind: Anisotropy of the entire inertial range journal July 2010
Frequency-Domain Analysis of Atmospherically Forced versus Intrinsic Ocean Surface Kinetic Energy Variability in GFDL’s CM2-O Model Hierarchy journal March 2018
Drivers of Atmospheric and Oceanic Surface Temperature Variance: A Frequency Domain Approach journal May 2021
Nonlinear Cascades of Surface Oceanic Geostrophic Kinetic Energy in the Frequency Domain* journal April 2012
Geostrophic Turbulence in the Frequency–Wavenumber Domain: Eddy-Driven Low-Frequency Variability* journal August 2014
Inverse Cascades of Kinetic Energy as a Source of Intrinsic Variability: A Global OGCM Study journal June 2018
The Solar Wind as a Turbulence Laboratory journal January 2013
Kinetic Plasma Turbulence: Recent Insights and Open Questions From 3D3V Simulations journal October 2019
Exploring turbulence from the Sun to the local interstellar medium: Current challenges and perspectives for future space missions journal November 2022
Coherent Events and Spectral Shape at ion Kinetic Scales in the fast Solar wind Turbulence journal June 2016
Can Hall Magnetohydrodynamics Explain Plasma Turbulence at Sub-ion Scales? journal January 2019
Pathways to Dissipation in Weakly Collisional Plasmas journal March 2020
Critical Balance and the Physics of Magnetohydrodynamic Turbulence journal June 2020
Four-dimensional Frequency–Wavenumber Power Spectrum of a Strong Turbulence Obtained from Hybrid Kinetic Simulations journal November 2020
On the Existence of Fast Modes in Compressible Magnetohydrodynamic Turbulence journal February 2022
Nature and Scalings of Density Fluctuations of Compressible Magnetohydrodynamic Turbulence with Applications to the Solar Wind journal September 2022
Observations of Waves and Structures by Frequency–Wavenumber Spectrum in Solar Wind Turbulence journal February 2023
Anisotropic Energy Transfer and Conversion in Magnetized Compressible Turbulence journal May 2023
Generation of Subion Scale Magnetic Holes from Electron Shear Flow Instabilities in Plasma Turbulence journal November 2023
Characterization of Turbulent Fluctuations in the Sub-Alfvénic Solar Wind journal April 2024
The Evolution and Role of Solar Wind Turbulence in the Inner Heliosphere journal February 2020
The Athena++ Adaptive Mesh Refinement Framework: Design and Magnetohydrodynamic Solvers journal June 2020
Spacetime Hall-MHD Turbulence at Sub-ion Scales: Structures or Waves? journal August 2021
Large-scale Linear Magnetic Holes with Magnetic Mirror Properties in Hybrid Simulations of Solar Wind Turbulence journal July 2024
Solar wind vs magnetosheath turbulence and Alfvén vortices journal February 2008

Similar Records

Mode coupling and anomalous dissipation in magnetohydrodynamic turbulence
Journal Article · Sun Feb 28 23:00:00 EST 1982 · Phys. Fluids; (United States) · OSTI ID:5767949

Self-organization process in three-dimensional compressible magnetohydrodynamics
Journal Article · Sun Nov 30 23:00:00 EST 1986 · Phys. Fluids; (United States) · OSTI ID:7242537

Forward and inverse cascades in decaying two-dimensional electron magnetohydrodynamic turbulence
Journal Article · Wed Apr 15 00:00:00 EDT 2009 · Physics of Plasmas · OSTI ID:21276986